Extensions 1→N→G→Q→1 with N=C₂²×D₂₅ and Q=C₂

Direct product G=N×Q with N=C₂²×D₂₅ and Q=C₂

		d	ρ	Label	ID
C₂³×D₂₅		200		C2^3xD25	400,54

Semidirect products G=N:Q with N=C₂²×D₂₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₂₅)⋊₁C₂ = C₂×D₁₀₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₅	200		(C2^2xD25):1C2	400,37
(C₂²×D₂₅)⋊₂C₂ = D₄×D₂₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₅	100	4+	(C2^2xD25):2C2	400,39
(C₂²×D₂₅)⋊₃C₂ = C₂×C₂₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₅	200		(C2^2xD25):3C2	400,44

Non-split extensions G=N.Q with N=C₂²×D₂₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₂₅).₁C₂ = D₅₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₅	200		(C2^2xD25).1C2	400,14
(C₂²×D₂₅).₂C₂ = D₂₅.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₅	100	4+	(C2^2xD25).2C2	400,34
(C₂²×D₂₅).₃C₂ = C₂²×C₂₅⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₅	100		(C2^2xD25).3C2	400,53
(C₂²×D₂₅).₄C₂ = C₂×C₄×D₂₅	φ: trivial image	200		(C2^2xD25).4C2	400,36

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